127655640 has 192 divisors, whose sum is σ = 478483200. Its totient is φ = 28912896.

The previous prime is 127655629. The next prime is 127655659. The reversal of 127655640 is 46556721.

It is a happy number.

127655640 is a `hidden beast` number, since 1 + 2 + 7 + 6 + 5 + 5 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 127655595 and 127655604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 450939 + ... + 451221.

It is an arithmetic number, because the mean of its divisors is an integer number (2492100).

Almost surely, 2^127655640 is an apocalyptic number.

127655640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127655640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239241600).

127655640 is an abundant number, since it is smaller than the sum of its proper divisors (350827560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127655640 is a wasteful number, since it uses less digits than its factorization.

127655640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 127655640 is about 11298.4795437262. The cubic root of 127655640 is about 503.5160698808.

The spelling of 127655640 in words is "one hundred twenty-seven million, six hundred fifty-five thousand, six hundred forty".